Final answer:
The equation that models the relationship between the number of gallons of gas in the tanker truck and the number of seconds gas is being added is A) t=2W + 35. This accounts for the initial 35 gallons and the rate of 2 gallons added per second.
Step-by-step explanation:
To determine which equation models the relationship between the number of gallons of gas in the tanker and W, the number of seconds gas is being added, we must start with the initial amount of gas and account for the rate at which gas is added. The tanker truck initially has 35 gallons of gas. Gas is added at a rate of 2 gallons per second. Therefore, for every second that passes, the amount of gas in the tanker increases by 2 gallons.
Let t represent the total number of gallons of gas in the tanker after W seconds. The relationship between t and W is linear, with a starting value (y-intercept) of 35 gallons and a slope of 2 gallons per second. The correct equation to model this relationship is:
t = 2W + 35
This equation means that after W seconds, the total gallons of gas in the truck is twice the number of seconds plus the initial 35 gallons. Hence, the answer to the question is option A) t=2W + 35.